A096345 Primes of the form p*q - p - q, where p and q are two successive primes.

7, 23, 59, 191, 839, 1439, 1931, 5039, 8447, 11447, 23399, 26891, 36479, 41579, 46619, 57119, 59999, 77279, 110879, 163199, 232307, 323759, 370871, 414731, 470579, 521267, 566999, 606791, 664199, 678971, 776159, 824459, 835379, 879839

Offset

1,1

Comments

These primes are not the sum of two squares.

The number of terms less than 10^n: 1, 3, 5, 9, 18, 35, 83, 190, 425, 1105, 2962, 7695, 20187, 54280, 147464, 402660, 1116912, ..., . - Robert G. Wilson v, Apr 09 2008

Links

Robert G. Wilson v, Table of n, a(n) for n=1..7700

Example

a(3)=59 because 7*11 - 7 - 11=59.

Mathematica

lst = {}; p = q = 2; Do[p = q; q = NextPrime@q; r = p*q - p - q; If[ PrimeQ@r, AppendTo[lst, r]], {n, 2^31 - 1}]; lst {* Robert G. Wilson v, Apr 09 2008 *}

Crossrefs

Primes in A037165.

Sequence in context: A037165 A126284 A140096 * A211644 A077037 A201110

Adjacent sequences: A096342 A096343 A096344 * A096346 A096347 A096348

Keyword

nonn

Author

Giovanni Teofilatto, Jun 29 2004

Extensions

More terms from Robert G. Wilson v, Jul 01 2004

Status

approved